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Finding the Fourth Proportional to 6,325.36, 9,491.28 and 3,406.48

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Solution

The fourth proportional to 6,325.36, 9,491.28 and 3,406.48 is: 5,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.36 : 9,491.28 = 3,406.48 : x
  2. Step 2: Convert to fraction form
    6,325.36/9,491.28 = 3,406.48/x
  3. Step 3: Cross multiply
    6,325.36x = 9,491.28 × 3,406.48
  4. Step 4: Simplify right side
    6,325.36x = 32,331,855.49
  5. Step 5: Solve for x
    x = 32,331,855.49/6,325.36
  6. Step 6: Final answer
    x = 5,111.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.